137873975855616 has 2560 divisors, whose sum is σ = 574163251200000. Its totient is φ = 31505555128320.

The previous prime is 137873975855611. The next prime is 137873975855743. The reversal of 137873975855616 is 616558579378731.

137873975855616 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 3 + 9 + 7 + 58 + 556 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (137873975855611) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31702452610 + ... + 31702456958.

It is an arithmetic number, because the mean of its divisors is an integer number (224282520000).

Almost surely, 2^{137873975855616} is an apocalyptic number.

137873975855616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137873975855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287081625600000).

137873975855616 is an abundant number, since it is smaller than the sum of its proper divisors (436289275344384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137873975855616 is a wasteful number, since it uses less digits than its factorization.

137873975855616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4493 counting only the distinct ones).

The product of its digits is 8001504000, while the sum is 81.

The spelling of 137873975855616 in words is "one hundred thirty-seven trillion, eight hundred seventy-three billion, nine hundred seventy-five million, eight hundred fifty-five thousand, six hundred sixteen".